Geometry Courses and Certifications

Insights into Mathematics

The Circle and Cartesian Coordinates in Universal Hyperbolic Geometry - Lecture 5

Explore Cartesian coordinates and the unit circle, covering key theorems on lines, points, and circles. Learn about determinants, parametrization, and the intersection of lines and circles in geometry.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Insights into Mathematics

Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3

Explore Pappus' theorem, cross ratio, and key projective geometry concepts. Learn about invariance, transformations, and applications in hyperbolic geometry through theorems and exercises.

• YouTube
• 22 minutes
• On-Demand
• Free Video

The Royal Institution

Topology, Geometry and Life in Three Dimensions

Explore hyperbolic geometry's role in mapping complex 3D spaces and its influence on digital art. Learn about mathematical approaches to describing and investigating intricate maze-like structures.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

3Blue1Brown

What Was Euclid Really Doing - Understanding Ruler and Compass Constructions in Ancient Geometry

Explore the philosophical foundations behind Euclid's geometric methods and discover why ruler-compass constructions were central to ancient mathematical reasoning and proof.

• YouTube
• 33 minutes
• On-Demand
• Free Video

ScienceClic

What's the Geometry of Colours?

Explore the mathematical geometry of color perception, from Newton's disc to XYZ color spaces and psychological approaches to understanding how we perceive and organize colors.

• YouTube
• 20 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Master Class in Geometry, Topology and Physics

Explore advanced mathematical physics through algebraic geometry, symplectic geometry, quantum topology, field theory, and Poisson geometry in this intensive master class series.

• YouTube
• 1 week 20 hours 28 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry for Higher Spin Gravity - Conformal Structures, PDEs, and Q-manifolds

Explore advanced mathematical frameworks connecting higher-spin gravity, conformal geometry, and quantum field theory through expert lectures on Cartan geometries, holography, and PDEs.

• YouTube
• 2 days 15 hours 48 minutes
• On-Demand
• Free Video

Utrecht Geometry Centre

Geometry, Mechanics, and Control - Young Researchers Workshop

Explore advanced topics in differential geometry, optimal control theory, and mathematical physics through expert lectures on Pontryagin principles, contact manifolds, and Hamiltonian systems.

• YouTube
• 9 hours 47 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Seminar in Analysis and Geometry

Explore advanced topics in analysis and geometry through expert seminars covering fluid dynamics, differential equations, manifold theory, and geometric structures.

• YouTube
• 23 hours 18 minutes
• On-Demand
• Free Video

Fields Institute

Tame Geometry, Transseries and Applications to Analysis and Geometry

Delve into advanced mathematical structures through o-minimality, transseries, and tame geometry with applications to analysis, singularities, and differential equations.

• YouTube
• 6 days 23 hours 16 minutes
• On-Demand
• Free Video

Fields Institute

Optimal Transportation, Geometry and Dynamics

Explore advanced mathematical theory connecting optimal transport problems with geometric structures and dynamical systems through 24 comprehensive lectures from Fields Institute.

• YouTube
• 1 day 9 hours 39 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Non-commutative Geometry and its Applications

Explore advanced mathematical concepts through expert lectures on non-commutative geometry, covering C*-algebras, spectral triples, quantum field theory, and applications to particle physics.

• YouTube
• 3 days 5 hours
• On-Demand
• Free Video

ICTP Mathematics

Mathematics Seminars - Advanced Topics in Analysis, Algebra, and Geometry

Explore advanced mathematical research through specialized seminars covering algebraic geometry, analysis, number theory, and differential equations from leading experts.

• YouTube
• 2 days 6 hours 55 minutes
• On-Demand
• Free Video

ICTP Mathematics

Extrinsic Curvature Flows - Analysis and Geometry at the Interface

Explore advanced mathematical techniques in extrinsic curvature flows, covering mean curvature flow, singularities, Brakke flow theory, and applications to geometry and physics.

• YouTube
• 1 day 18 hours 51 minutes
• On-Demand
• Free Video